It is expected for the ET that the rates of NS-NS and BH-NS binary detections per year are about the order \(10^3-10^7\)  [1]}. However, this prediction about the rate is very uncertain. Then, Cai and Yang [2]}, [3]} predicted that about \(10^2\)  GW measurements with EM counterparts will be observed per year, if the middle detection rate around \(10^5\)  is viable and the efficiency of EM counterparts are around \(10^{-3}\)  of the total number of binary coalescence. In this paper, following the process from Ref. [4]}, [3]}, [2]},
we simulate 1000 data points in the redshift range \(0<z<5\) ,
and show the results in the right panel of Fig. REF .
